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Finding the Fourth Proportional to 274,667.68, 411,897.84 and 126,820

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Solution

The fourth proportional to 274,667.68, 411,897.84 and 126,820 is: 190,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,667.68 : 411,897.84 = 126,820 : x
  2. Step 2: Convert to fraction form
    274,667.68/411,897.84 = 126,820/x
  3. Step 3: Cross multiply
    274,667.68x = 411,897.84 × 126,820
  4. Step 4: Simplify right side
    274,667.68x = 52,236,884,068.80
  5. Step 5: Solve for x
    x = 52,236,884,068.80/274,667.68
  6. Step 6: Final answer
    x = 190,182.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.